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If one of the two electrons of a hydroge...

If one of the two electrons of a hydrogen molecule is removed, we get a hydrogen molecule ion `(H_(2)^(+))`. In the ground state of `H_(2)^(+)`, the two protons are separated roughly by `1.5 Å` and electron is roughly `1 Å` from each proton. Determine the potential energy of the system. Specify your choice of zero of potential energy.

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`-19.2 eV`, the zero of potential energy is taken to be at infinity
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If one of the two electrons of a H_(2) molecule is removed, we get a hydrogen molecular ion H_(2)^(+) . In the ground state of an H_(2)^(+) , the two protons are separated by roughly 1.5Å, and the electron is roughly 1Å from each proton. Determine the potential energy of the system. Specific your choice of the zero of potential energy.

In a hydrogen atom, the electron and proton are bounded at a distance of about 0.53A (a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinte separation of the electron from proton. (b) Whatis the minimum work required to free the electron? Given that its kinetic energy in hte orbit is half the magnitude of potential energy obtained in (a). (c) What are the answer to (a) and (b) above if the zero of potential energy is taken at 1.06A separation?

An adiabatic vessel of total volume V is divided into two equal parts by a conducting separator. The separator is fixed in this position. The part on the left contains one mole of an ideal gas (U=1.5 nRT) and the part on the right contains two moles of the same gas. initially, the pressure on each side is p. the system is left for sufficient time so that a steady state is reached. find (a) the work done by the gas in the left part during the process, (b) the temperature on the two sides in the beginning, (c ) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

What will be the energy corresponding to the first excited state of a hydrogen atom if the potential energy of the atom is taken to be 10eV when the electron is widely separated from the proton ? Can be still write E_(n) = E_(1)//n^(2), or, r_(n) = a_(0) n^(2) ?

Energy of an electron in the ground state of the hydrogen atom is -2.18 xx 10^(-18) J. Calculate the ionization enthalpy of atomic hydrogen in terms of J mol^(-1) .

The gravitational potential energy of a two particle system is derived in this chapter as U=-(Gm_1m_2)/r . Does it follow from this equation that the potential energy for r=oo must be zero? Can we choose the potential energy for r=o to be 20 J and still use this formula? If no what formula shoud be used to calculalte the gravitational potential energy at separation?

Two charged particles, having equal charges of 2.0xx 10^(-5) C each, are brought from infinity to within a separation of 10 cm. Find the increase in the electric potential energy during the process.

During a thunder storm the movement of water molecules within the clouds creates friction partially causing the bottom part of the clouds to become negatively charged. This implies that the bottom of the cloud and the ground act as a parallel plate cpacitor . If the electric field between the cloud and ground exeeds the dielectric breakdown of the air (3xx10^(6)Vm^(-1)) lightning will occur. (a) If the bottom part of the cloud is 1000 m above the ground determine the electric potential difference that exists between the cloud and ground. (b) In a typical lightning phenomenon around 25 C of electrons are transferred from cloud to ground . How much electrostatic potential energy is transferred to the ground?

In a fusion reactor, the reaction occurs in two stages. (i) Two deuterium (""_(1)^(2)D) nuclei fuse to form a tritium (""_(1)^(3)T) nucleus with a proton as product. (ii) A tritium nucleus fuses with another deuterium nucleus to form a helium (""_(2)^(4)He) nucleus with neutron as another product. Find (a) the energy released in each stage. (b) the energy released in the combined reaction per deuterium and (c) what percentage of the mass energy of the initial deuterium is released? Given : ""_(1)^(2)D=2.014102u,""_(1)^(3)T=3.016049u,""_(2)^(4)He=4.002603u,""_(1)^(1)H=1.007825u,""_(0)^(1)n=1.008665u Take 1u = 931 MeV

NCERT TAMIL-ELECTROSTATIC POTENTIAL AND CAPACITANCE -EXERCISES
  1. A long charged cylinder of linear charge density lambda is surrounde...

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  2. In a hydrogen atom, the electron and proton are bound at a distance of...

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  3. If one of the two electrons of a hydrogen molecule is removed, we get ...

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  4. Two charged conducting spheres of radii a and b are connected to eac...

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  5. Two charges -q and +q are located at points (0, 0, –a) and (0, 0, a), ...

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  6. Figure shows a charge array known as an electric quadrupole. For a poi...

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  7. An electrical technician requires a capacitance of 2 muF in a circuit ...

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  8. What is the area of the plates of a 2 F parallel plate capacitor, give...

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  9. Obtain the equivalent capacitance of the network in figure below. For ...

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  10. The plates of a paralllel plate capacitor have an area of 90 cm^(2) e...

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  11. A 4 muF capacitor is charged by a 200 V supply. It is then disconnect...

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  12. Show that the force on each plate of a parallel plate capacitor has a ...

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  13. A spherical capacitor consists of two concentric spherical conductors,...

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  14. A spherical capacitor has an inner sphere of radius 12 cm and an oute...

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  15. Answer carefully: (a) Two large conducting spheres carrying charges ...

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  16. A cylindrical capacitor has two co-axial cylinders of length 15 cm a...

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  17. A parallel plate capacitor is to be designed with a voltage rating 1 K...

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  18. Describe schematically the equipotential surfaces corresponding to (...

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  19. A small sphere of radius r(1) and charge q(1) is enclosed by a spheri...

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  20. Answer the following: (a) The top of the atmosphere is at about 400 ...

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